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Finding the Fourth Proportional to 2,067.22, 3,100.02 and 768.28

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Solution

The fourth proportional to 2,067.22, 3,100.02 and 768.28 is: 1,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.22 : 3,100.02 = 768.28 : x
  2. Step 2: Convert to fraction form
    2,067.22/3,100.02 = 768.28/x
  3. Step 3: Cross multiply
    2,067.22x = 3,100.02 × 768.28
  4. Step 4: Simplify right side
    2,067.22x = 2,381,683.37
  5. Step 5: Solve for x
    x = 2,381,683.37/2,067.22
  6. Step 6: Final answer
    x = 1,152.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.